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Finding the Fourth Proportional to 38,083.84, 57,131.22 and 13,117.21

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Solution

The fourth proportional to 38,083.84, 57,131.22 and 13,117.21 is: 19,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.84 : 57,131.22 = 13,117.21 : x
  2. Step 2: Convert to fraction form
    38,083.84/57,131.22 = 13,117.21/x
  3. Step 3: Cross multiply
    38,083.84x = 57,131.22 × 13,117.21
  4. Step 4: Simplify right side
    38,083.84x = 749,402,116.66
  5. Step 5: Solve for x
    x = 749,402,116.66/38,083.84
  6. Step 6: Final answer
    x = 19,677.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.